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arXiv · 2002.00933

Hyperk\"ahler cones and instantons on quaternionic K\"ahler manifolds

Chandrashekar Devchand·Massimiliano Pontecorvo·Andrea Spiro
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Abstract

We present a novel approach to the study of Yang-Mills instantons on quaternionic K\"ahler manifolds, based on an extension of the harmonic space method of constructing instantons on hyperk\"ahler manifolds. Our results establish a bijection between local equivalence classes of instantons on quaternionic K\"ahler manifolds M and equivalence classes of certain holomorphic maps on an appropriate SL_2(C)-bundle over the Swann bundle of M.

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Chandrashekar Devchand, Massimiliano Pontecorvo, Andrea Spiro. 2020-02-03. Hyperk\"ahler cones and instantons on quaternionic K\"ahler manifolds. https://arxiv.org/abs/2002.00933

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